Classification of simple Harish-Chandra modules over the high rank Virasoro algebras
Representation Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A notion of generalized highest weight modules over the high rank Virasoro algebras is introduced, and a theorem, which was originally given as a conjecture by Kac over the Virasoro algebra, is generalized. Mainly, we prove that a simple Harish-Chandra module over a high rank Virasoro algebra is either a generalized highest weight module, or a module of the intermediate series.
Keywords
Cite
@article{arxiv.math/9906116,
title = {Classification of simple Harish-Chandra modules over the high rank Virasoro algebras},
author = {Yucai Su},
journal= {arXiv preprint arXiv:math/9906116},
year = {2007}
}
Comments
16 pages, Latex